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Finding the Fourth Proportional to 8,152.92, 12,229.98 and 3,996.42

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Solution

The fourth proportional to 8,152.92, 12,229.98 and 3,996.42 is: 5,994.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.92 : 12,229.98 = 3,996.42 : x
  2. Step 2: Convert to fraction form
    8,152.92/12,229.98 = 3,996.42/x
  3. Step 3: Cross multiply
    8,152.92x = 12,229.98 × 3,996.42
  4. Step 4: Simplify right side
    8,152.92x = 48,876,136.67
  5. Step 5: Solve for x
    x = 48,876,136.67/8,152.92
  6. Step 6: Final answer
    x = 5,994.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.